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I'm given this problem:

Find conditions for variables a, b, c so that the limit

[tex]

\lim_{[x,y] \rightarrow [0,0]} \frac{xy}{ax^2 + bxy + cy^2}

[/tex]

exists.

What I have only found so far is that for all variables non-zero the limit doesn't exist. Anyway, I have no clue how to find the conditions for which it does. I tried a = b = c = 0, but it doesn't seem to help to me...

Thank you for the enlightenment.

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# Find values for which the limit exists

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